Shape from Depth Discontinuities
Emerging Trends in Visual Computing
A 2-point algorithm for 3D reconstruction of horizontal lines from a single omni-directional image
Pattern Recognition Letters
Camera Models and Fundamental Concepts Used in Geometric Computer Vision
Foundations and Trends® in Computer Graphics and Vision
Line Localization from Single Catadioptric Images
International Journal of Computer Vision
Polygonal light source estimation
ACCV'09 Proceedings of the 9th Asian conference on Computer Vision - Volume Part III
Hi-index | 0.00 |
This paper demonstrates that, for axial non-central optical systems, the equation of a 3D line can be estimated using only four points extracted from a single image of the line. This result, which is a direct consequence of the lack of vantage point, follows from a classic result in enumerative geometry: there are exactly two lines in 3-space which intersect four given lines in general position. We present a simple algorithm to reconstruct the equation of a 3D line from four image points. This algorithm is based on computing the Singular Value Decomposition (SVD) of the matrix of Plücker coordinates of the four corresponding rays. We evaluate the conditions for which the reconstruction fails, such as when the four rays are nearly coplanar. Preliminary experimental results using a spherical catadioptric camera are presented. We conclude by discussing the limitations imposed by poor calibration and numerical errors on the proposed reconstruction algorithm.